Answer:
- Celine's rate: 5 mi/h
- current's rate: 3 mi/h
Step-by-step explanation:
We can use the relationship ...
speed = distance/time
along with the variables k = kayak rate, c = current rate, to write the equations ...
4 mi/(2 h) = k - c
4 mi/(1/2 h) = k + c
Adding these equations together, we get ...
2 mi/h + 8 mi/h = 2k
k = 5 mi/h . . . . . . . . . . . divide by 2 and simplify
Subtracting the first equation from the second, we get ...
8 mi/h -2 mi/h = 2c
c = 3 mi/h . . . . . . . . . . . divide by 2 and simplify
Celine paddles 5 mi/h in still water. The rate of the current is 3 mi/h.
